- In
spherical geometry, an n-gonal
hosohedron is a
tessellation of
lunes on a
spherical surface, such that each lune
shares the same two
polar opposite...
-
monogonal faces which share one 360° edge and one vertex. Its dual, a
hosohedron, {2,1} has two
antipodal vertices at the poles, one 360° lune face, and...
- In geometry, an
apeirogonal hosohedron or
infinite hosohedron is a
tiling of the
plane consisting of two
vertices at infinity. It may be
considered an...
- most po****r
spherical polyhedron is the
beach ball,
thought of as a
hosohedron. Some "improper" polyhedra, such as
hosohedra and
their duals, dihedra...
- polytopes, a
notable example being the
apeirogonal hosohedron, the
limit of a
general spherical hosohedron at infinity,
composed of an
infinite number of...
- polyhedron: it
exists as a
spherical tiling of
digon faces,
called a
pentagonal hosohedron with Schläfli
symbol {2,5}. It has 2 (antipodal point) vertices, 5 edges...
- spaced. The
hosohedron {2,n} is dual to the
dihedron {n,2}. Note that when n = 2, we
obtain the
polyhedron {2,2},
which is both a
hosohedron and a dihedron...
- and two
regular polygon caps. It can be seen as a
truncated pentagonal hosohedron,
represented by Schläfli
symbol t{2,5}.
Alternately it can be seen as...
-
stellated 120-cell
Honeycomb Cubic honeycomb Hosohedron Dihedron Order-2
apeirogonal tiling Apeirogonal hosohedron Order-4
square hosohedral honeycomb Order-6...
- and two
regular polygon caps. It can be seen as a
truncated hexagonal hosohedron,
represented by Schläfli
symbol t{2,6}.
Alternately it can be seen as...